Do NOW Write an expression for the phrase: 4 times the difference of 6 and number x is more than 28. There are three times as many finches as mockingbirds. If there are 48 birds, how many mockingbirds are there? Show your work. 1/13/2019 12:38 PM 1.5: Patterns

Page 24 3) 42 + n = 51 4) z – 11 = 35 5) 9 – (t/6) = 5 6) 12 + 8k = 48 7) 9(t + 5) < 6 8) 4w < 51 12) p < 10 13) p > $12.99 14) Wrong inequality; < 15) 16) D 18) No 20) Yes 22) 24) Yes 26) No 28) 40) 27 + x < 40; no 1/13/2019 12:38 PM 1.5: Patterns

Patterns Section 1.5 1/13/2019 12:38 PM 1.5: Patterns

Steps Take the difference between at least two of the different y-coordinates Determine the pattern by putting it in a chart. Plug into the formula 1/13/2019 12:38 PM 1.5: Patterns

Example 1 Stage 0 Stage 1 Stage 2 Stage 3 Determine Stage 0 & Stage 3 and the pattern Stage 0 Stage 1 Stage 2 Stage 3 1/13/2019 12:38 PM 1.5: Patterns

Example 1 Stage 3 Stage 2 Stage 1 Stage 0 Compared to stage 1 and stage 2, what blocks stayed the same? Compared to stage 1 and stage 2, what blocks stayed became different? What’s the difference between stage 2 to stage 1? (Stage 2 – Stage 1) How many blocks can be add on stage 3? How many blocks can be subtracted on stage 0? 1/13/2019 12:38 PM 1.5: Patterns

Example 1 1 1 1 3 1 5 1 7 1 1 2 3 n s or f(x) Stage # n Process Column Total # of squares s 1 2 3 n s or f(x) 1 1 1 3 1 5 1 7 1 1/13/2019 12:38 PM 1.5: Patterns

What is the pattern rule? Example 2 Determine the pattern Stage 0 Stage 1 Stage 2 Stage 3 What is the pattern rule? 1/13/2019 12:38 PM 1.5: Patterns

Your Turn Determine the pattern Stage 3 Stage 2 Stage 1 Stage 0 1/13/2019 12:38 PM 1.5: Patterns

Assignment Worksheet 1/13/2019 12:38 PM 1.5: Patterns